dorsal/arxiv
View SchemaA new view on relativity: Part 1. Kinematic relations between inertial and relativistically accelerated systems based on symmetry
| Authors | Yaakov Friedman |
|---|---|
| Categories | |
| ArXiv ID | physics/0606008 |
| URL | https://arxiv.org/abs/physics/0606008 |
| DOI | 10.2478/v10005-007-0009-8 |
| Journal | Concepts of Physics V.4 N.2 (2007) 205-237 |
Abstract
Several new ideas related to Special and General Relativity are proposed. The black-box method is used for the synchronization of the clocks and the space axes between two inertial systems or two accelerated systems and for the derivation of the transformations between them. There are two consistent ways of defining the inputs and outputs to describe the transformations and relative motion between the systems. The standard approach uses a mixture of the two ways. By formulating the principle of special and general relativity as a symmetry principle we are able to specify these transformations to depend only on a constant. The transformations become Galilean if the constant is zero. Validity of the Clock Hypothesis for uniformly accelerated systems implies zero constant. If the constant is not zero, we can introduce a metric under which the transformations become self adjoint. In case of inertial systems, the metric is the Minkowski metric and we obtain a unique invariant maximal velocity. The ball of the relativistically admissible velocities is a bounded symmetric domain under projective maps. For uniformly accelerated systems the existence of an invariant \textit{maximal acceleration} is predicted. This is the only method of describing transformations between uniformly accelerated systems without assuming the Clock Hypothesis.
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"abstract": "Several new ideas related to Special and General Relativity are proposed. The\nblack-box method is used for the synchronization of the clocks and the space\naxes between two inertial systems or two accelerated systems and for the\nderivation of the transformations between them. There are two consistent ways\nof defining the inputs and outputs to describe the transformations and relative\nmotion between the systems. The standard approach uses a mixture of the two\nways. By formulating the principle of special and general relativity as a\nsymmetry principle we are able to specify these transformations to depend only\non a constant.\n The transformations become Galilean if the constant is zero. Validity of the\nClock Hypothesis for uniformly accelerated systems implies zero constant. If\nthe constant is not zero, we can introduce a metric under which the\ntransformations become self adjoint. In case of inertial systems, the metric is\nthe Minkowski metric and we obtain a unique invariant maximal velocity. The\nball of the relativistically admissible velocities is a bounded symmetric\ndomain under projective maps. For uniformly accelerated systems the existence\nof an invariant \\textit{maximal acceleration} is predicted. This is the only\nmethod of describing transformations between uniformly accelerated systems\nwithout assuming the Clock Hypothesis.",
"arxiv_id": "physics/0606008",
"authors": [
"Yaakov Friedman"
],
"categories": [
"physics.class-ph"
],
"doi": "10.2478/v10005-007-0009-8",
"journal_ref": "Concepts of Physics V.4 N.2 (2007) 205-237",
"title": "A new view on relativity: Part 1. Kinematic relations between inertial and relativistically accelerated systems based on symmetry",
"url": "https://arxiv.org/abs/physics/0606008"
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